Entanglement concentration for arbitrary four-particle linear cluster states

Abstract Cluster states, whose model are a remarkably rich structure in measurement-based quantum computation, hold high degree of entanglement, while entanglement is very fragile during the process of transmission because of the inevitable interaction with the environment. We propose two entangleme...

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Main Authors: Ting-Ting Song, Xiaoqing Tan, Tianyin Wang
Format: Article
Language:English
Published: Nature Portfolio 2017-05-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-017-02146-9
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author Ting-Ting Song
Xiaoqing Tan
Tianyin Wang
author_facet Ting-Ting Song
Xiaoqing Tan
Tianyin Wang
author_sort Ting-Ting Song
collection DOAJ
description Abstract Cluster states, whose model are a remarkably rich structure in measurement-based quantum computation, hold high degree of entanglement, while entanglement is very fragile during the process of transmission because of the inevitable interaction with the environment. We propose two entanglement concentration protocols for four-particle linear cluster states which and are susceptible to the decoherence and the imperfect communication setups. In the first protocol, POVM operators are introduced to maximize the success probability, and the second protocol is based on cross-Kerr nonlinearity which is utilized to check the parity between the original particle and the ancillary particle. Both of the protocols have their own advantages. The first one can be easily realized in experiment by linear optics, while the one with cross-Kerr nonlinearity reach more than 90% success probability by iteration. Since the wide application of cluster states, the two protocols are efficient and valuable to different fields of quantum communication.
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spelling doaj.art-f8b44a733d464e44ad753066b333d4792022-12-21T21:21:42ZengNature PortfolioScientific Reports2045-23222017-05-017111110.1038/s41598-017-02146-9Entanglement concentration for arbitrary four-particle linear cluster statesTing-Ting Song0Xiaoqing Tan1Tianyin Wang2Department of Computer Science, College of Information Science and Technology, Jinan UniversityDepartment of Mathematics, College of Information Science and Technology, Jinan UniversitySchool of Mathematical Science, Luoyang Normal UniversityAbstract Cluster states, whose model are a remarkably rich structure in measurement-based quantum computation, hold high degree of entanglement, while entanglement is very fragile during the process of transmission because of the inevitable interaction with the environment. We propose two entanglement concentration protocols for four-particle linear cluster states which and are susceptible to the decoherence and the imperfect communication setups. In the first protocol, POVM operators are introduced to maximize the success probability, and the second protocol is based on cross-Kerr nonlinearity which is utilized to check the parity between the original particle and the ancillary particle. Both of the protocols have their own advantages. The first one can be easily realized in experiment by linear optics, while the one with cross-Kerr nonlinearity reach more than 90% success probability by iteration. Since the wide application of cluster states, the two protocols are efficient and valuable to different fields of quantum communication.https://doi.org/10.1038/s41598-017-02146-9
spellingShingle Ting-Ting Song
Xiaoqing Tan
Tianyin Wang
Entanglement concentration for arbitrary four-particle linear cluster states
Scientific Reports
title Entanglement concentration for arbitrary four-particle linear cluster states
title_full Entanglement concentration for arbitrary four-particle linear cluster states
title_fullStr Entanglement concentration for arbitrary four-particle linear cluster states
title_full_unstemmed Entanglement concentration for arbitrary four-particle linear cluster states
title_short Entanglement concentration for arbitrary four-particle linear cluster states
title_sort entanglement concentration for arbitrary four particle linear cluster states
url https://doi.org/10.1038/s41598-017-02146-9
work_keys_str_mv AT tingtingsong entanglementconcentrationforarbitraryfourparticlelinearclusterstates
AT xiaoqingtan entanglementconcentrationforarbitraryfourparticlelinearclusterstates
AT tianyinwang entanglementconcentrationforarbitraryfourparticlelinearclusterstates